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Nonlinear Supratransmission in Multicomponent Systems

P. Anghel-Vasilescu, J. Dorignac, F. Geniet, J. Leon, and M. Taki
Phys. Rev. Lett. 105, 074101 – Published 10 August 2010

Abstract

A method is proposed to solve the challenging problem of determining the supratransmission threshold (onset of instability of harmonic boundary driving inside a band gap) in multicomponent nonintegrable nonlinear systems. It is successfully applied to the degenerate three-wave resonant interaction in a birefringent quadratic medium where the process generates spatial gap solitons. No analytic expression is known for this model showing the broad applicability of the method to nonlinear systems.

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  • Received 5 June 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.074101

© 2010 The American Physical Society

Authors & Affiliations

P. Anghel-Vasilescu, J. Dorignac, F. Geniet, J. Leon, and M. Taki*

  • Laboratoire de Physique Théorique et Astroparticules, CNRS-IN2P3-UMR5207, Université Montpellier 2, 34095 Montpellier, France

  • *Permanent address: Laboratoire de Physique des Lasers, Atomes et Molécules, CNRS-INP-UMR8523, Université des Sciences et Technologies de Lille, 59655 Villeneuve d’Ascq, France.

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Issue

Vol. 105, Iss. 7 — 13 August 2010

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